Bubba - Machine Scheduling Problem (steel manufacturing)
PROBLEM DATA IN EQUATION STYLE
Minimize
30 XAS + 30 XAM + 30 XAL + 30 XAX + 50 XBS + 50 XBM + 50 XBL + 50 XBX
+ 80 XCS + 80 XCM + 80 XCL + 80 XCX
Subject to
REQT SMALL
300 XAS + 600 XBS + 800 XCS >= 10000
REQT MEDIU
250 XAM + 400 XBM + 700 XCM >= 8000
REQT LARGE
200 XAL + 350 XBL + 600 XCL >= 6000
REQT XTRAL
100 XAX + 200 XBX + 300 XCX >= 6000
MACH A HRS
1 XAS + 1 XAM + 1 XAL + 1 XAX <= 50
MACH B HRS
1 XBS + 1 XBM + 1 XBL + 1 XBX <= 50
MACH C HRS
1 XCS + 1 XCM + 1 XCL + 1 XCX <= 50
0 <= XAS
0 <= XAM
0 <= XAL
0 <= XAX
0 <= XBS
0 <= XBM
0 <= XBL
0 <= XBX
0 <= XCS
0 <= XCM
0 <= XCL
0 <= XCX
Bubba - Machine Scheduling Problem (steel manufacturing)
OPTIMAL SOLUTION - DETAILED REPORT
Variable Value Cost Red. cost Status
1 XAS 0.0000 30.0000 5.0000 Lower bound
2 XAM 0.0000 30.0000 1.4286 Lower bound
3 XAL 0.0000 30.0000 3.3333 Lower bound
4 XAX 0.0000 30.0000 5.0000 Lower bound
5 XBS 16.6667 50.0000 0.0000 Basic
6 XBM 0.0000 50.0000 4.2857 Lower bound
7 XBL 0.0000 50.0000 3.3333 Lower bound
8 XBX 30.0000 50.0000 0.0000 Basic
9 XCS 0.0000 80.0000 13.3333 Lower bound
10 XCM 11.4286 80.0000 0.0000 Basic
11 XCL 10.0000 80.0000 0.0000 Basic
12 XCX 0.0000 80.0000 5.0000 Lower bound
Slack Variables
13 REQT SMALL 0.0000 0.0000 0.0833 Lower bound
14 REQT MEDIU 0.0000 0.0000 0.1143 Lower bound
15 REQT LARGE 0.0000 0.0000 0.1333 Lower bound
16 REQT XTRAL 0.0000 0.0000 0.2500 Lower bound
17 MACH A HRS 50.0000 0.0000 0.0000 Basic
18 MACH B HRS 3.3333 0.0000 0.0000 Basic
19 MACH C HRS 28.5714 0.0000 0.0000 Basic
Objective Function Value = 4047.619
Bubba - Machine Scheduling Problem (steel manufacturing)
OPTIMAL SOLUTION - DETAILED REPORT
Constraint Type RHS Slack Shadow price
1 REQT SMALL >= 10000.0000 0.0000 0.0833
2 REQT MEDIU >= 8000.0000 0.0000 0.1143
3 REQT LARGE >= 6000.0000 0.0000 0.1333
4 REQT XTRAL >= 6000.0000 0.0000 0.2500
5 MACH A HRS <= 50.0000 50.0000 0.0000
6 MACH B HRS <= 50.0000 3.3333 0.0000
7 MACH C HRS <= 50.0000 28.5714 0.0000
Objective Function Value = 4047.619
Bubba - Machine Scheduling Problem (steel manufacturing)
SENSITIVITY ANALYSIS OF COST COEFFICIENTS
Current Allowable Allowable
Variable Coeff. Minimum Maximum
1 XAS 30.0000 25.0000 Infinity
2 XAM 30.0000 28.5714 Infinity
3 XAL 30.0000 26.6667 Infinity
4 XAX 30.0000 25.0000 Infinity
5 XBS 50.0000 0.0000 60.0000
6 XBM 50.0000 45.7143 Infinity
7 XBL 50.0000 46.6667 Infinity
8 XBX 50.0000 0.0000 53.3333
9 XCS 80.0000 66.6667 Infinity
10 XCM 80.0000 0.0000 84.0000
11 XCL 80.0000 0.0000 85.7143
12 XCX 80.0000 75.0000 Infinity
Bubba - Machine Scheduling Problem (steel manufacturing)
SENSITIVITY ANALYSIS OF RIGHT-HAND SIDE VALUES
Current Allowable Allowable
Constraint Type Value Minimum Maximum
1 REQT SMALL >= 10000.0000 0.0000 12000.0000
2 REQT MEDIU >= 8000.0000 0.0000 28000.0000
3 REQT LARGE >= 6000.0000 0.0000 23142.8600
4 REQT XTRAL >= 6000.0000 0.0000 6666.6670
5 MACH A HRS <= 50.0000 0.0000 Infinity
6 MACH B HRS <= 50.0000 46.6667 Infinity
7 MACH C HRS <= 50.0000 21.4286 Infinity